A Solomon descent theory for the wreath products $G\wr\mathfrak S_n$
A Solomon descent theory for the wreath products $G\wr\mathfrak S_n$
We propose an analogue of Solomon's descent theory for the case of a wreath product $G\wr \mathfrak S_n$, where $G$ is a finite abelian group. Our construction mixes a number of ingredients: Mantaci-Reutenauer algebras, Specht's theory for the representations of wreath products, Okada's extension to wreath products of the Robinson-Schensted …